Question

PLEASE HELP ME I BEG

CSC(X)^4-COT(X)^4=2CSC(X)^2-1
you need to get one side to look like the other
one rule: you cant touch the side you are trying to get it to look like
(SOLVED IT)

Answer 1

see explanation

Explanation:

Using the trigonometric identity

• 1 + cot²x = csc²x

Consider the left side

`csc^(4)` x -
`cot^(4)` x

Factorise as a difference of squares

= (csc²x - cot²x)(csc²x + cot²x)

= (1 + cot²x - cot²x)(csc²x + cot²x)

= csc²x + cot²x

= csc²x + csc²x - 1

= 2csc²x - 1 = right side ⇒ verified